8182382681136 has 80 divisors (see below), whose sum is σ = 21654252789120. Its totient is φ = 2660830026240.

The previous prime is 8182382681059. The next prime is 8182382681149. The reversal of 8182382681136 is 6311862832818.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59370675 + ... + 59508333.

It is an arithmetic number, because the mean of its divisors is an integer number (270678159864).

Almost surely, 2^{8182382681136} is an apocalyptic number.

It is an amenable number.

8182382681136 is an abundant number, since it is smaller than the sum of its proper divisors (13471870107984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8182382681136 is a wasteful number, since it uses less digits than its factorization.

8182382681136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167914 (or 167908 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 57.

The spelling of 8182382681136 in words is "eight trillion, one hundred eighty-two billion, three hundred eighty-two million, six hundred eighty-one thousand, one hundred thirty-six".